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Finding the Fourth Proportional to 22,855.26, 31,540.50 and 13,423.98

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Solution

The fourth proportional to 22,855.26, 31,540.50 and 13,423.98 is: 18,525.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,855.26 : 31,540.50 = 13,423.98 : x
  2. Step 2: Convert to fraction form
    22,855.26/31,540.50 = 13,423.98/x
  3. Step 3: Cross multiply
    22,855.26x = 31,540.50 × 13,423.98
  4. Step 4: Simplify right side
    22,855.26x = 423,399,041.19
  5. Step 5: Solve for x
    x = 423,399,041.19/22,855.26
  6. Step 6: Final answer
    x = 18,525.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.